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Question

For a series LCR circuit, the power dissipated at resonance is (symbols have their usual meaning) ( $I$ : rms current)

A

\frac{V^{2}}{(X_{L} - X_{C})}

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B

I^{2} ω L

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C

I^{2} R

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D

I^{2} (X_{L} - X_{C})

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Solution

The correct option is C $I^{2} R$
Since, power through the LCR circuit is given by,

$P = \frac{V^{2}}{Z^{2}} R$

$= I^{2} R$ (at resonance $Z = R$ )

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